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The Use of Delay Lines

So far the short-term memories that have been used to store the intermediate results of a folded array have been left undescribed. They could be implemented using standard RAM with the address determined by the particular phase of data flow, but a much more useful arrangement is possible. The short-term memory can actually be viewed as a set of delay lines, with one delay line for each of the outputs of a processor. An example of this is shown in Figure 2.8. This figure shows a single-processor emulation of the 4x4 array we introduced in Figure 2.1. For ease of discussion, the processor in this figure does not have an intrinsic delay.

The length of a given delay line can be easily determined. If the PEs in an origami array are numbered in a raster-scan fashion, as shown in Figure 2.9, the length of a delay line between the output of one PE and the input of another is simply the difference in the numbers of the two PEs. Our sample array requires two delay lines, one of length 4 and one of length 5. The length of the delay lines is approximately proportional to the width of the array, which is consistent with our earlier observation that only widthwise folding requires extra memory.



Next: Boundary Conditions Up: Folding Previous: The Foldability Criteria


Robert French